Adding/Subtracting
Rational Numbers
Rational Numbers
-3 + 7
4
(-4)(3)
-12
Is 5 natural, whole, integer, rational, or irrational?
5 is all of the above except irrational.
What is a rational number?
A rational number is any number that can be written as a fraction!
A submarine is 125 feet below sea level. Its additive inverse represents a position the same distance from sea level but in the opposite direction. What is the submarine's additive inverse?
125
-8 - (-5)
-3
-24 ÷ 6
-4
Classify -7
Integer and Rational
Define integer
Integers are positive and negative whole numbers, including zero!
A video game charges you $18.75 for 5 minutes of gameplay. What is the cost per minute?
-$3.75 per minute
4.5 + (-7.8)
-3.3
(-2.5)(-4)
-10
Classify 0
Whole, Integer, and Rational
Give an example of opposite numbers.
3/-3 5/-5 are examples.
Marcus has $1,250 in his bank account. His bank charges a $10.50 monthly fee whenever his balance is below $1,500. If Marcus's balance stays below $1,500, how much money will he have after 5 months, assuming he makes no deposits or withdrawals?
$1197.50
-3 ½ - 2 ¾
-25/4 or -6 and 1/4
⅔ ÷ (-4/5)
-10/12=-5/6
Classify ∣-9∣
Explain absolute value
Absolute value is how far a number is from zero!
A bird is flying 18.5 feet above the surface of a lake. A fish is swimming 7.25 feet below the surface. What is the distance between the bird and the fish?
25.75 feet
Mia has 6.5 yards of ribbon. She uses 2¾ yards to decorate a project and then uses 1.5 yards for another project. How much ribbon does she have left?
2.25 yards
A recipe calls for ¾ cup of sugar for one batch of cookies. Mrs. Miller wants to make 4 batches. She has 2½ cups of sugar. After making the cookies, how much sugar will she have left?
She is short by ½ cup of sugar.
Classify .3333333333....
Rational
Which number does NOT belong with the others? Explain why.
−6, 0, 4, 2.5
2.5
A baker has 12.6 pounds of flour. She wants to divide it equally into bags that each hold 1¾ pounds. How many full bags of flour can she make?
7 Full Bags